Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry

Details Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry

2003-06-28

arxiv.org/abs/quant-ph/0306192v3

Phys. Rev. Lett. 91, 250801 (2003)

Physics

Quantum Physics

More details are available at http://minty.caltech.edu/Ensemble

Scientific paper

10.1103/PhysRevLett.91.250801

The shot-noise detection limit in current high-precision atomic magnetometry is a manifestation of quantum fluctuations that scale as the square root of N in an ensemble of N particles. However, there is a general expectation that the reduced projection noise provided by conditional spin-squeezing could be exploited to surpass the conventional shot-noise limit. We show that continuous measurement coupled with quantum Kalman filtering provides an optimal procedure for magnetic detection limits that scale with 1/N, the Heisenberg squeezing limit. Our analysis demonstrates the importance of optimal estimation procedures for high bandwidth precision magnetometry.

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